GCD of 564, 966, 500, 255 Calculator

Given Input numbers are 564, 966, 500, 255

In the factoring method, we have to find the divisors of all numbers

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

GCD of numbers is the greatest common divisor

So, the GCD (564, 966, 500, 255) = 1.

Given numbers are 564, 966, 500, 255

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 255 are 3 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 564, 966, 500, 255

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(564, 966) = 90804

GCD(564, 966) = ( 564 x 966 ) / 90804

= 564 / 966

= 564

Step2:

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

= 6 / 500

= 6

Step3:

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

= 2 / 255

= 2

So, Greatest Common Divisor of 564, 966, 500, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 502, 556, 933
• GCD of 463, 558, 827, 854
• GCD of 264, 707, 202, 865
• GCD of 333, 828, 577, 351
• GCD of 606, 758, 585, 451

Given numbers are 564, 966, 500, 255
The greatest common divisor of numbers 564, 966, 500, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 966, 500, 255 is 1.

1. What is the GCD of 564, 966, 500, 255?

GCD of given numbers 564, 966, 500, 255 is 1

2. How to calculate the greatest common divisor of 564, 966, 500, 255?

We can find the highest common divisor of 564, 966, 500, 255 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 564, 966, 500, 255 i.e 1.

3. How can I use the GCD of 564, 966, 500, 255Calculator?

Out the numbers 564, 966, 500, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.